Base | Representation |
---|---|
bin | 1101111000001000000 |
3 | 212002202111 |
4 | 1233001000 |
5 | 104022340 |
6 | 13425104 |
7 | 3602500 |
oct | 1570100 |
9 | 762674 |
10 | 454720 |
11 | 290702 |
12 | 19b194 |
13 | 12bc86 |
14 | bba00 |
15 | 8eaea |
hex | 6f040 |
454720 has 84 divisors (see below), whose sum is σ = 1303020. Its totient is φ = 150528.
The previous prime is 454711. The next prime is 454721. The reversal of 454720 is 27454.
454720 = T111 + T112 + ... + T159.
It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 254016 = 448^2 + 504^2 .
It is a nialpdrome in base 14.
It is a junction number, because it is equal to n+sod(n) for n = 454691 and 454700.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (454721) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15666 + ... + 15694.
2454720 is an apocalyptic number.
454720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651510).
454720 is an abundant number, since it is smaller than the sum of its proper divisors (848300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
454720 is a wasteful number, since it uses less digits than its factorization.
454720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 60 (or 43 counting only the distinct ones).
The product of its (nonzero) digits is 1120, while the sum is 22.
The square root of 454720 is about 674.3292964124. The cubic root of 454720 is about 76.8979363997.
454720 divided by its product of nonzero digits (1120) gives a triangular number (406 = T28).
The spelling of 454720 in words is "four hundred fifty-four thousand, seven hundred twenty".
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